Kazhdan Constants and Matrix Coefficients of Sp(n, R)
Journal of Lie theory, Tome 13 (2003) no. 1, pp. 133-154
Voir la notice de l'article provenant de la source Heldermann Verlag
An infinitesimal Kazhdan constant of Sp(2, R) is computed. The methods used to prove this can also be employed to determine a quantitative estimate of the asymptotics of the matrix coefficients of Sp(n, R) in an elementary manner. An application of the result gives explicit Kazhdan constants for Sp(n, R) , n ≥ 2.
@article{JLT_2003_13_1_JLT_2003_13_1_a7,
author = {M. Neuhauser },
title = {Kazhdan {Constants} and {Matrix} {Coefficients} of {Sp(n,} {R)}},
journal = {Journal of Lie theory},
pages = {133--154},
publisher = {mathdoc},
volume = {13},
number = {1},
year = {2003},
url = {http://geodesic.mathdoc.fr/item/JLT_2003_13_1_JLT_2003_13_1_a7/}
}
M. Neuhauser . Kazhdan Constants and Matrix Coefficients of Sp(n, R). Journal of Lie theory, Tome 13 (2003) no. 1, pp. 133-154. http://geodesic.mathdoc.fr/item/JLT_2003_13_1_JLT_2003_13_1_a7/